| 一类反向混合单调算子新不动点定理的推广 |
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| 引用本文： | 邵海成,赵喜来.一类反向混合单调算子新不动点定理的推广[J].大学数学,2011,27(5):76-79. |
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| 作者姓名： | 邵海成 赵喜来 |
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| 作者单位： | 1. 商丘师范学院软件学院,河南商丘,476000
2. 鹤壁职业技术学院,河南鹤壁,458030 |
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| 基金项目： | 河南省教委科研基金资助项目 |
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| 摘 要： | 利用锥理论和非对称迭代方法,讨论了一类反向混合单调算子的不动点的存在唯一性,得到了若干不具有连续性和紧性条件的有关反向混合单调算子的新不动点定理,所得结果是某些已有结果的本质改进和推广.
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| 关 键 词： | 锥与半序 反向混合单调算子 不动点 非对称迭代 |
Generalizations of New Fixed Point Theorems of Some Anti-Mixed Monotone Operators |
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| SHAO Hai-cheng,ZHAO Xi-lai.Generalizations of New Fixed Point Theorems of Some Anti-Mixed Monotone Operators[J].College Mathematics,2011,27(5):76-79. |
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| Authors: | SHAO Hai-cheng ZHAO Xi-lai |
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| Institution: | SHAO Hai-cheng1,ZHAO Xi-lai2(1.Department of Software,Shangqiu Teachers colloge,Shangqiu Henan 476000,China,2.Hebi College of Vocation and Technology,Hebi,Henan 458030,China) |
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| Abstract: | By using the cone theory and non-symmetry iteration method, we study the existence and uniqueness of fixed point for a class of anti-mixed monotone operators, and obtain some new fixed point theorems of anti-mixed monotone operators which have no continuous and compact conditions, the results presented here improve and generalize some corresponding results. |
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| Keywords: | cone and partial ordering anti-mixed monotone operator fixed point non-symmetric iteration |
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